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Find a mathematical model for the verbal statement. (Use k for the constant of proportionality.)

y varies inversely as the square of x.

User Piojo
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The equation y = k / (x^2) expresses that y and x are inversely proportional with k as the constant of proportionality. As x increases, y decreases, reflecting an inverse square relationship.

The mathematical representation for the verbal statement "y varies inversely as the square of x" is:

y = k / (x^2)

In this equation:

y is the dependent variable.

x is the independent variable.

k is the constant of proportionality.

This equation signifies that as x increases, y decreases, and vice versa. The relationship between y and x is inversely proportional, with the square of x in the denominator, indicating the inverse square relationship.

In this mathematical model, the inverse square relationship implies that the effect of changes in x on y is amplified due to the squared term, reinforcing the strong inverse correlation between the two variables.

User Haxxerz
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